GATE EC 2017 Set 2 — Question 22
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Communications → Probability → Expectation & Variance
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Question
Consider the random processwhere is a zero-mean Gaussian random variable and is a random variable uniformly distributed between 0 and 2. Assume that and are statistically independent. The mean value of the random process at is ________.
Correct answer
2 to 2
Solution
The mean value of the random process is given by:Given:
1. is a zero-mean random variable, so .
2. is uniformly distributed between 0 and 2, so its mean is .
3. and are statistically independent.
Substituting these values into the expression for the mean:At , the mean value is:Continue learning with Success Tracker
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